IPMAT Indore 2024 (SA) PYQs

If $a, b, c$ are three distinct natural numbers, all less than $100$, such that $|a - b| + |b - c| = |c - a|$, then the maximum possible value of $b$ is ______

The minimum value of $f(x)=|3-x|+|2+x|+|5-x|$ is equal to __________.

The sum of the squares of all the roots of the equation $x^{2}+|x+4|+|x-4|-35=0$ is